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Joshua Cycle Trading makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 16,000 of these tricycles. Current schedules yield the following information. The company obviously does not have the resources available to manufacture everything needed for the completion of 16,000 tricycles so has gathered purchase information for each component. Requirements Cost to Cost to Component Plastic Time (minutes) Space Manufacture ($) Purchase ($) Front 4 12 3 9 14 Seat 5 6 3 7 10 Rear wheel (each) 0.5 3 0.1 1 4 Available 60,000 170,000 40,000 (a) Develop a linear programming model to tell the company how many of each component should be manufactured. (b) Based on the sensitivity report below, how many of each component should be manufactured and purchased in order to provide 16,000 fully completed tricycles at the minimum cost
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